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Math0075 910 preview assignment 8 b

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Foundations of Mathematical Reasoning Version 3.0 (2020)
Student Pages
Copyright © 2020, The Charles A. Dana Center at The University of Texas at Austin
Preview Assignment 8.B
Preparing for the next class
In the next in-class activity, you will need to understand how risk is measured, compute
the effect on a quantity of a percent decrease, and understand the effect of consecutive
percent decreases.
Questions 13: Risk statistics arise in other fields besides health. The website A Secure
Life posted the following statement about home burglaries or robberies in 2019:
Data from the FBI 2012 crime report shows that we can expect one in every
thirty-six homes in the United States to be burglarized this year, resulting in an
average loss of $2,230 per break in (totaling $4.7 billion in property losses).
1
1) Answer the following three questions about risk based on this information. Part A:
What is the risk? (Example: Individuals risk lung cancer.) Burglary
Part B: Who or what is at risk? Homes in the United States.
Part C: Over what period of time? A year
2) Which of the following are fair conclusions based on the data?
a) 2.8% of the people in America will be burglarized.
b) The data do not give enough information to assess your home’s individual
risk.
c) There is a 1 in 36 chance that your home will be burglarized.
d) None of the statements are true.
3) How many homes out of 1,000 will be burglarized in the year? Round the answer
to the nearest whole number of homes.
28
1
A Secure Life. (2019). Will your house be broken into this year? Retrieved July 6, 2020, from
https://www.asecurelife.com/burglary-statistics/.

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Foundations of Mathematical Reasoning Version 3.0 (2020)
Student Pages
Copyright © 2020, The Charles A. Dana Center at The University of Texas at Austin
Questions 4 and 5: Refer to the table. The bolded entry (“17”) appears in the column for
men and the row for age 40. This highlighted entry means that an average of 17
40year-old men out of 1,000 40-year-old men will die by age 50 (in the next 10 years)
from heart attack.
Number out of 1,000 Men or 1,000 Women Who Will Die in the Next 10 Years
from Heart Attack (projected in 2008)
2
Age
Men
Women
40
17
5
50
40
17
60
88
45
70
187
112
4) In the 50 age group, what percent of men will die from a heart attack in the next 10
years? Round to the nearest whole percent, if necessary. 4%
5) In the 50 age group, what percent of women will die from a heart attack in the next
10 years? Round to the nearest whole percent, if necessary. 1.7%
Questions 614: Calculate the effective percent decrease resulting from consecutive
percent decreases.
6) A computer is on sale for 9% off, which means the sale price is 91% of the original
price. What is the sale price if the original price is $500?
$455
7) As a student, you receive a 9% discount off the sale price of the computer. What
price do you pay for the computer? $414.05
2
Excerpted from Woloshin, S., Schwartz, L., & Welch, H. G. (2008). Know your chances: Understanding health
statistics (pp. 128129). Berkeley, CA: University of California Press.

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Foundations of Mathematical Reasoning Version 3.0 (2020) Student Pages Preview Assignment 8.B Preparing for the next class In the next in-class activity, you will need to understand how risk is measured, compute the effect on a quantity of a percent decrease, and understand the effect of consecutive percent decreases. Questions 1–3: Risk statistics arise in other fields besides health. The website A Secure Life posted the following statement about home burglaries or robberies in 2019: Data from the FBI 2012 crime report shows that we can expect one in every thirty-six homes in the United States to be burglarized this year, resulting in an average loss of $2,230 per break in (totaling $4.7 billion in property losses).1 1) Answer the following three questions about risk based on this information. Part A: What is the risk? (Example: Individuals risk lung cancer.) Burglary Part B: Who or what is at risk? Homes in the United States. Part C: Over what period of time? A year 2) 3) Which of the following are fair conclusions based on the data? a) 2.8% of the people in America will be burglarized. b) The data do not give enough information to assess your home’s individual risk. ...
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